An asymptotic representation for the Riemann zeta function on the critical line

R. B. Paris

Type: Article

Publication Date: 1994-09-08

Citations: 14

DOI: https://doi.org/10.1098/rspa.1994.0121

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Locations

Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences - View

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+ PDF Chat	Computational strategies for the Riemann zeta function	2000	Jonathan M. Borwein David M. Bradley Richard E. Crandall
+	The Classical Special Functions	2007
+	The Riemann Zeros and Eigenvalue Asymptotics	1999	Michael Berry Jonathan P. Keating
+ PDF Chat	On the high-order coefficients in the uniform asymptotic expansion for the incomplete gamma function	1998	T. M. Dunster R. B. Paris S. Cang
+ PDF Chat	An asymptotic representation for $\zeta (\frac{1}{2} + it)$	1997	R. B. Paris S. Cang
+	The Riemann-Siegel expansion for the zeta function: high orders and remainders	1995	Michael Berry
+	Asymptotic solutions of second-order linear differential equations having almost coalescent turning points, with an application to the incomplete gamma function	1996	T. M. Dunster
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Works Cited by This (8)

Action	Title	Year	Authors
+	Riemann's Zeta Function	1974	Harold M. Edwards
+	Tables of the Riemann Zeta Function	1961	D. S. C. B. Haselgrove J. C. P. Miller
+	Asymptotics and Special Functions	1997	F. W. J. Olver
+ PDF Chat	The Uniform Asymptotic Expansion of a Class of Integrals Related to Cumulative Distribution Functions	1982	N. M. Temme
+ PDF Chat	On the zeros of the Riemann zeta function in the critical strip	1979	Richard P. Brent
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie
+ PDF Chat	On the zeros of the Riemann zeta function in the critical strip. IV	1986	J. van de Lune H. J. J. Te Riele D.T. Winter